Factors of 3200 in pair are (1, 3200) , (2, 1600) , (4, 800) , (5, 640) , (8, 400) , (10, 320) , (16, 200) , (20, 160) , (25, 128) , (32, 100) , (40, 80) and (50, 64)

How to find factors of a number in pair

Steps to find factors of 3200 in pair

Example: Find factors of 3200 in pair

Factor Pair Pair Factorization
1 and 3200 1 x 3200 = 3200
2 and 1600 2 x 1600 = 3200
4 and 800 4 x 800 = 3200
5 and 640 5 x 640 = 3200
8 and 400 8 x 400 = 3200
10 and 320 10 x 320 = 3200
16 and 200 16 x 200 = 3200
20 and 160 20 x 160 = 3200
25 and 128 25 x 128 = 3200
32 and 100 32 x 100 = 3200
40 and 80 40 x 80 = 3200
50 and 64 50 x 64 = 3200

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 3200. They are called negative pair factors.

Hence, the negative pairs of 3200 would be ( -1 , -3200 ) .

Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 3200 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 64 , 80 , 100 , 128 , 160 , 200 , 320 , 400 , 640 , 800 , 1600 , 3200. So, factors of 3200 in pair are (1,3200), (2,1600), (4,800), (5,640), (8,400), (10,320), (16,200), (20,160), (25,128), (32,100), (40,80), (50,64).

What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

Properties of Factors

  • Each number is a factor of itself. Eg. 3200 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 3200.
  • Every number is a factor of zero (0), since 3200 x 0 = 0.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Every factor of a number is an exact divisor of that number, example 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200 are exact divisors of 3200.
  • Factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200. Each factor divides 3200 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200 are all less than or equal to 3200.

Steps to find Factors of 3200

  • Step 1. Find all the numbers that would divide 3200 without leaving any remainder. Starting with the number 1 upto 1600 (half of 3200). The number 1 and the number itself are always factors of the given number.
    3200 ÷ 1 : Remainder = 0
    3200 ÷ 2 : Remainder = 0
    3200 ÷ 4 : Remainder = 0
    3200 ÷ 5 : Remainder = 0
    3200 ÷ 8 : Remainder = 0
    3200 ÷ 10 : Remainder = 0
    3200 ÷ 16 : Remainder = 0
    3200 ÷ 20 : Remainder = 0
    3200 ÷ 25 : Remainder = 0
    3200 ÷ 32 : Remainder = 0
    3200 ÷ 40 : Remainder = 0
    3200 ÷ 50 : Remainder = 0
    3200 ÷ 64 : Remainder = 0
    3200 ÷ 80 : Remainder = 0
    3200 ÷ 100 : Remainder = 0
    3200 ÷ 128 : Remainder = 0
    3200 ÷ 160 : Remainder = 0
    3200 ÷ 200 : Remainder = 0
    3200 ÷ 320 : Remainder = 0
    3200 ÷ 400 : Remainder = 0
    3200 ÷ 640 : Remainder = 0
    3200 ÷ 800 : Remainder = 0
    3200 ÷ 1600 : Remainder = 0
    3200 ÷ 3200 : Remainder = 0

Hence, Factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, and 3200

Frequently Asked Questions

  • Is 3200 a composite number?

    Yes 3200 is a composite number.

  • Is 3200 a prime number?

    No 3200 is not a prime number.

  • Is 3200 a perfect square?

    No 3200 is not a perfect square.

  • Write five multiples of 3200.

    Five multiples of 3200 are 6400, 9600, 12800, 16000, 19200.

  • Write all odd factors of 3200?

    The factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200.
    Odd factors of 3200 are 1 , 5 , 25.

Examples of Factors

Ariel has been asked to write all factor pairs of 3200 but she is finding it difficult. Can you help her find out?

Factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200. So, factors of 3200 in pair are (1,3200), (2,1600), (4,800), (5,640), (8,400), (10,320), (16,200), (20,160), (25,128), (32,100), (40,80), (50,64).

Sammy wants to write all the negative factors of 3200 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 3200 are -1, -2, -4, -5, -8, -10, -16, -20, -25, -32, -40, -50, -64, -80, -100, -128, -160, -200, -320, -400, -640, -800, -1600, -3200. Hence, factors of 3200 in pair are (-1,-3200), (-2,-1600), (-4,-800), (-5,-640), (-8,-400), (-10,-320), (-16,-200), (-20,-160), (-25,-128), (-32,-100), (-40,-80), (-50,-64).

Help Deep in writing the positive factors of 3200 in pair and negative factor of 3200 in pair.

Factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200. Positive factors of 3200 in pair are (1,3200), (2,1600), (4,800), (5,640), (8,400), (10,320), (16,200), (20,160), (25,128), (32,100), (40,80), (50,64). Negative factors of 3200 in pair are (-1,-3200), (-2,-1600), (-4,-800), (-5,-640), (-8,-400), (-10,-320), (-16,-200), (-20,-160), (-25,-128), (-32,-100), (-40,-80), (-50,-64).

Find the product of all factors of 3200.

Factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200. So the product of all factors of 3200 would be 1 x 2 x 4 x 5 x 8 x 10 x 16 x 20 x 25 x 32 x 40 x 50 x 64 x 80 x 100 x 128 x 160 x 200 x 320 x 400 x 640 x 800 x 1600 x 3200 = 1.152921504606847e+42.

Find the product of all prime factors of 3200.

Factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200. Prime factors are 2, 2, 2, 2, 2, 2, 2, 5, 5. So, the product of all prime factors of 3200 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 = 3200.

Can you help Sammy list the factors of 3200 and also find the factor pairs?

Factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200.
Factors of 3200 in pair are (1,3200), (2,1600), (4,800), (5,640), (8,400), (10,320), (16,200), (20,160), (25,128), (32,100), (40,80), (50,64).

Sammy has 3200 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 3200 blocks in all possible ways to form a rectangle, we need to calculate factors of 3200 in pair. Therefore, factors of 3200 in pair are (1,3200), (2,1600), (4,800), (5,640), (8,400), (10,320), (16,200), (20,160), (25,128), (32,100), (40,80), (50,64)